The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. All results presented herein are new in that, apart from the classical background material in the last chapter, there is no over lapping with any existing monograph on merom orphic functions. Broadly speaking the division of the book is as follows: The Introduction and Chapters I to III deal mainly with the theory of mappings of arbitrary Riemann surfaces as developed by the first named author; Chapter IV, due to Nakai, is devoted to...
The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfac...
Most texts on algebraic topology emphasize homological algebra, with topological considerations limited to a few propositions about the geometry of simplicial complexes. There is much to be gained however, by using the more sophisticated concept of cell (CW) complex. Even for simple computations, this concept ordinarily allows us to bypass much tedious algebra and often gives geometric insight into the homology and homotopy theory of a space. For example, the easiest way to calculate and interpret the homology of Cpn, complex projective n-space, is by means of a cellular decomposition with...
Most texts on algebraic topology emphasize homological algebra, with topological considerations limited to a few propositions about the geometry of si...
During the decade and a half that has elapsed since the intro duction of principal functions (Sario 8 J), they have become impor tant tools in an increasing number of branches of modern mathe matics. The purpose of the present research monograph is to systematically develop the theory of these functions and their ap plications on Riemann surfaces and Riemannian spaces. Apart from brief background information (see below), nothing contained in this monograph has previously appeared in any other book. The basic idea of principal functions is simple: Given a Riemann surface or a Riemannian space...
During the decade and a half that has elapsed since the intro duction of principal functions (Sario 8 J), they have become impor tant tools in an inc...
The theory of almost-periodic functions with complex values, created by H. Bohr 1] in his two classical papers published in Acta Mathematica in 1925 and 1926, has been developed by many authors and has had note- worthy applications: we recall the works of Weyl, De la Vallee Poussin, Bochner, Stepanov, Wiener, Besicovic, Favard, Delsarte, Maak, Bogoliu- bov, Levitan. This subject has been widely treated in the monographs by Bohr 2], Favard 1], Besicovic 1], Maak 1], Levitan 1], Cinquini 1], Corduneanu 1], 2]. An important class of almost-periodic functions was studied at the beginning...
The theory of almost-periodic functions with complex values, created by H. Bohr 1] in his two classical papers published in Acta Mathematica in 1925 ...
